# What is the solution of log_{2x - 4}16 = 4?

**Solution:**

Given expression is log_{2x - 4}16 = 4

Apply anti-log on both sides

16 = (2x - 4)^{4}

2^{4} = (2x - 4)^{4}

If the exponents are equal, bases must be equal

2 = 2x - 4

2x = 4 + 2

2x = 6

x = 3

Therefore, the solution of log_{2x - 4}16 = 4 is x = 3.

## What is the solution of log_{2x - 4}16 = 4?

**Summary:**

The solution for log_{2x - 4}16 = 4 is 3.

Math worksheets and

visual curriculum

visual curriculum